Controller order reduction using singular perturbation approximation
type: Item
instance of: scholarly article
title: Controller order reduction using singular perturbation approximation
zbMATH Open document ID: 0890.93014
DOI: 10.1016/S0005-1098(97)00041-1
author: Do Chang Oh
author: Kyeong Ho Bang
author: Hong Bae Park
published in: Automatica
publication date: 1998-07-01T00:00:00Z
review text: A controller order reduction method using singular perturbation approximation (SPA) of balanced systems is investigated. SPA of balanced systems is proposed to reduce the controller orders for a class of systems and controllers. The resulting reduced-order controllers, if they exist, are guaranteed to stabilize the corresponding systems. Furthermore, it is shown that SPA of closed-loop balanced systems has the same error bound as the structurally balanced truncation method of \textit{K. Zhou}, \textit{C. D'Souza} and \textit{J. R. Cloutier} [see e.g. Syst. Control Lett. 24, 235-242 (1995; Zbl 0877.93013)] but has zero steady-state error.
Mathematics Subject Classification ID: 93B11
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93C99
zbMATH DE Number: 1043312
zbMATH Keywords: Lyapunov inequality
zbMATH Keywords: controller order reduction
zbMATH Keywords: singular perturbation approximation
zbMATH Keywords: balanced systems
reviewed by: Vasile Dragan
MaRDI profile type: Publication
cites work: All optimal Hankel-norm approximations of linear multivariable systems and theirL,∞-error bounds†
cites work: Q4255489
cites work: Singular perturbation approximation of balanced systems
cites work: Model reduction via balanced state space representations
cites work: Properties of a low-frequency approximation balancing method of model reduction
cites work: Structurally balanced controller order reduction with guaranteed closed loop performance
full work available at URL: s0005-1098(97)00041-1
OpenAlex ID: W2033960758
description: scientific article; zbMATH DE number 1043312